6.33.2 Greatest hits from previous weeks

6.33.2.1 Conversion of Sine to Cosine

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=67521

I'm solving equations with many Cosines and Sines. 
And I want to convert all the Sines to Cosines using trigonometric formulas such as cos(x)=sin(x+pi/2). 
How can I do this? 
[trigonometry] [conversion]
 

asked by YongCheol Kwon https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=23041 3 votes

answered by Sjoerd C. de Vries https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=57 1 vote

6.33.2.2 How to ask Mathematica to imitate Andy Warhol's pop-art painting?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=59132

I tried to ask Mathematica to imitate Andy Warhol, let it convert a Marilyn Monroe's portrait so that it looks like Warhol's world famous pop-art painting. However, the result shown below is far from ... 
[image-processing] [generative-art]
 

asked by Putterboy https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=16069 51 votes

answered by Dr. belisarius https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=193 66 votes

6.33.2.3 Plot, extract data to a file

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=19859

I need to save data that Mathematica uses inside the  Plot  command. The format that I would like to have is: 
 
 x1 y1 
x2 y2 
..... 
 
 
... 
[plotting] [export]
 

asked by molkee https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=5097 30 votes

answered by Mr.Wizard https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=121 46 votes

6.33.2.4 My Girlfriend is going to prison...Save her with Math

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=135937

Salacious title, but true story. 
 
... 
[plotting] [interpolation] [modeling]
 

asked by Prisoners Dilema https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=46025 42 votes

answered by bobthechemist https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=7167 23 votes

6.33.2.5 How to create animated snowfall?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=16881

Well, the title is self-explanatory. What sorts of snowfall can we generate using Mathematica? There are two options I suggest to consider: 
 
1) Continuous GIF animations with smallest possible number ... 
[dynamic] [random] [animation] [generative-art]
 

asked by faleichik https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=219 40 votes

answered by Simon Woods https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=862 54 votes

6.33.2.6 Parallel and perpendicular symbol from Mathematica to $\LaTeX$

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=46538

I want to get the following expression from Mathematica to $\LaTeX$: 
 
\begin{bmatrix} 
E_{\parallel} \\ E_{\perp} 
\end{bmatrix} 
 
I have tried to use inbuilt 'symbol' character from the special ... 
[latex]
 

asked by Steve Hatcher https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=13314 19 votes

answered by Sjoerd C. de Vries https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=57 27 votes

6.33.2.7 1 Plot, 2 Scale/Axis

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=627

I would like to plot those two datasets on top of each other. But they have very different range on the $y$ axis. How can I have two different axis? 
 
I found the following on the help menu but quite ... 
[plotting] [customization]
 

asked by 500 https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=172 148 votes

answered by ArgentoSapiens https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=92 151 votes